Solve m^22520/2-6

Question

Simplify the expression

1260 m^{2} - 6

Evaluate

m^{2} \times \frac{2520}{2} - 6

Divide the terms

More Steps

Evaluate

\frac{2520}{2}

Reduce the numbers

\frac{1260}{1}

Calculate

1260

m^{2} \times 1260 - 6

Solution

1260 m^{2} - 6

Show Solution

6 (210 m^{2} - 1)

Evaluate

m^{2} \times \frac{2520}{2} - 6

Divide the terms

More Steps

Evaluate

\frac{2520}{2}

Reduce the numbers

\frac{1260}{1}

Calculate

1260

m^{2} \times 1260 - 6

Use the commutative property to reorder the terms

1260 m^{2} - 6

Solution

6 (210 m^{2} - 1)

Show Solution

m_{1} = - \frac{210}{210}, m_{2} = \frac{210}{210}

Alternative Form

m_{1} \approx - 0.069007, m_{2} \approx 0.069007

Evaluate

m^{2} \times \frac{2520}{2} - 6

To find the roots of the expression,set the expression equal to 0

m^{2} \times \frac{2520}{2} - 6 = 0

Divide the terms

More Steps

Evaluate

\frac{2520}{2}

Reduce the numbers

\frac{1260}{1}

Calculate

1260

m^{2} \times 1260 - 6 = 0

Use the commutative property to reorder the terms

1260 m^{2} - 6 = 0

Move the constant to the right-hand side and change its sign

1260 m^{2} = 0 + 6

Removing 0 doesn't change the value,so remove it from the expression

1260 m^{2} = 6

Divide both sides

\frac{1260 m ^{2}}{1260} = \frac{6}{1260}

Divide the numbers

m^{2} = \frac{6}{1260}

Cancel out the common factor 6

m^{2} = \frac{1}{210}

Take the root of both sides of the equation and remember to use both positive and negative roots

m = \pm \frac{1}{210}

Simplify the expression

More Steps

Evaluate

\frac{1}{210}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{1}{210}

Simplify the radical expression

\frac{1}{210}

Multiply by the Conjugate

\frac{210}{210 \times 210}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{210}{210}

m = \pm \frac{210}{210}

Separate the equation into 2 possible cases

m = \frac{210}{210} m = - \frac{210}{210}

Solution

m_{1} = - \frac{210}{210}, m_{2} = \frac{210}{210}

Alternative Form

m_{1} \approx - 0.069007, m_{2} \approx 0.069007

Show Solution